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Finding the Fourth Proportional to 9,242.34, 12,770.73 and 6,848.88

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Solution

The fourth proportional to 9,242.34, 12,770.73 and 6,848.88 is: 9,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.34 : 12,770.73 = 6,848.88 : x
  2. Step 2: Convert to fraction form
    9,242.34/12,770.73 = 6,848.88/x
  3. Step 3: Cross multiply
    9,242.34x = 12,770.73 × 6,848.88
  4. Step 4: Simplify right side
    9,242.34x = 87,465,197.28
  5. Step 5: Solve for x
    x = 87,465,197.28/9,242.34
  6. Step 6: Final answer
    x = 9,463.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.